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Simplifying 5(y + -3) + (2y + -9) = 8 Reorder the terms: 5(-3 + y) + (2y + -9) = 8 (-3 * 5 + y * 5) + (2y + -9) = 8 (-15 + 5y) + (2y + -9) = 8 Reorder the terms: -15 + 5y + (-9 + 2y) = 8 Remove parenthesis around (-9 + 2y) -15 + 5y + -9 + 2y = 8 Reorder the terms: -15 + -9 + 5y + 2y = 8 Combine like terms: -15 + -9 = -24 -24 + 5y + 2y = 8 Combine like terms: 5y + 2y = 7y -24 + 7y = 8 Solving -24 + 7y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 7y = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = 8 + 24 7y = 8 + 24 Combine like terms: 8 + 24 = 32 7y = 32 Divide each side by '7'. y = 4.571428571 Simplifying y = 4.571428571
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